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12003320130120 = 233251113936759419
BaseRepresentation
bin1010111010101011110110…
…1000011110101001001000
31120111111200000111012002200
42232222331220132221020
53033130244423130440
641310125452000200
72346132314445114
oct256527550365110
946444600435080
1012003320130120
1139086413187a0
12141a3a7760060
13690ba64cc617
142d6d6c918744
1515c37964cc30
hexaeabda1ea48

12003320130120 has 384 divisors, whose sum is σ = 42980910336000. Its totient is φ = 2881040970240.

The previous prime is 12003320130119. The next prime is 12003320130157. The reversal of 12003320130120 is 2103102330021.

12003320130120 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 320 + 1 + 301 + 20 = 666.

It is a super-2 number, since 2×120033201301202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12003320130093 and 12003320130102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201981771 + ... + 202041189.

It is an arithmetic number, because the mean of its divisors is an integer number (111929454000).

Almost surely, 212003320130120 is an apocalyptic number.

12003320130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003320130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490455168000).

12003320130120 is an abundant number, since it is smaller than the sum of its proper divisors (30977590205880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12003320130120 is a wasteful number, since it uses less digits than its factorization.

12003320130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59953 (or 59946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12003320130120 its reverse (2103102330021), we get a palindrome (14106422460141).

The spelling of 12003320130120 in words is "twelve trillion, three billion, three hundred twenty million, one hundred thirty thousand, one hundred twenty".